1044344434401 has 48 divisors (see below), whose sum is σ = 1602698999616. Its totient is φ = 653034590208.

The previous prime is 1044344434381. The next prime is 1044344434423.

1044344434401 is a `hidden beast` number, since 104 + 43 + 44 + 434 + 40 + 1 = 666.

1044344434401 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 1044344434401 - 2³⁵ = 1009984696033 is a prime.

It is not an unprimeable number, because it can be changed into a prime (1044344434501) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 112496106 + ... + 112505388.

It is an arithmetic number, because the mean of its divisors is an integer number (33389562492).

Almost surely, 2^{1044344434401} is an apocalyptic number.

It is an amenable number.

1044344434401 is a deficient number, since it is larger than the sum of its proper divisors (558354565215).

1044344434401 is a wasteful number, since it uses less digits than its factorization.

1044344434401 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11742 (or 11739 counting only the distinct ones).

The product of its (nonzero) digits is 147456, while the sum is 36.

The spelling of 1044344434401 in words is "one trillion, forty-four billion, three hundred forty-four million, four hundred thirty-four thousand, four hundred one".